Solve x-1-3x/2/4-2-x/4/3=2

$$x - \frac { 1 - \frac { 3 x } { 2 } } { 4 } - \frac { 2 - \frac { x } { 4 } } { 3 } = 2$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$12x-3\left(1-\frac{3x}{2}\right)-4\left(2-\frac{x}{4}\right)=24$$

Use the distributive property to multiply -3 by 1-\frac{3x}{2}.

$$12x-3-3\left(-\frac{3x}{2}\right)-4\left(2-\frac{x}{4}\right)=24$$

Multiply -3 and -1 to get 3.

$$12x-3+3\times \frac{3x}{2}-4\left(2-\frac{x}{4}\right)=24$$

Express 3\times \frac{3x}{2} as a single fraction.

$$12x-3+\frac{3\times 3x}{2}-4\left(2-\frac{x}{4}\right)=24$$

Multiply 3 and 3 to get 9.

$$12x-3+\frac{9x}{2}-4\left(2-\frac{x}{4}\right)=24$$

Use the distributive property to multiply -4 by 2-\frac{x}{4}.

$$12x-3+\frac{9x}{2}-8-4\left(-\frac{x}{4}\right)=24$$

Multiply -4 and -1 to get 4.

$$12x-3+\frac{9x}{2}-8+4\times \frac{x}{4}=24$$

Express 4\times \frac{x}{4} as a single fraction.

$$12x-3+\frac{9x}{2}-8+\frac{4x}{4}=24$$

Cancel out 4 and 4.

$$12x-3+\frac{9x}{2}-8+x=24$$

Subtract 8 from -3 to get -11.

$$12x-11+\frac{9x}{2}+x=24$$

Combine 12x and x to get 13x.

$$13x-11+\frac{9x}{2}=24$$

Add 11 to both sides.

$$13x+\frac{9x}{2}=24+11$$

Add 24 and 11 to get 35.

$$13x+\frac{9x}{2}=35$$

Multiply both sides of the equation by 2.

$$26x+9x=70$$

Combine 26x and 9x to get 35x.

$$35x=70$$

Divide both sides by 35.

$$x=\frac{70}{35}$$

Divide 70 by 35 to get 2.

$$x=2$$